Math 9 – Surface Area Practice Test
Multiple Choice
Identify the choice that best completes the statement or answers the question.
____
1. This composite object is made using centimetre cubes. Determine its surface area.
a. 24 cm2
____
b. 20 cm2
d. 18 cm2
2. This object is made from 9 centimetre cubes. Determine its surface area.
a. 30 cm2
____
c. 15 cm2
b. 28 cm2
c. 34 cm2
d. 54 cm2
3. This composite object is made of a 10-cm cube on top of a 20-cm cube.
Determine its surface area.
10 cm
20 cm
a. 2800 cm2
____
b. 2500 cm2
c. 2900 cm2
d. 3000 cm2
4. This object is made of a right rectangular prism of length 12 cm, width 6 cm, and height 4 cm.
A cube of side length 2 cm has been removed from one corner.
Determine the surface area of the object.
4 cm
2 cm
6 cm
12 cm
a. 312 cm2
b. 264 cm2
c. 288 cm2
d. 280 cm2
____
5. This object is composed of a right triangular prism on top of a right rectangular prism.
Determine the surface area of the object.
8 cm
5 cm
9 cm
6 cm
a. 351 cm2
____
b. 297 cm2
c. 207 cm2
d. 441 cm2
6. This object is composed of two identical cubes joined by a right rectangular prism.
The edge length of each cube is 8 cm.
The rectangular prism is 9 cm long and has square ends of side length 3 cm.
Determine the surface area of the object.
8 cm
9 cm
a. 660 cm2
____
b. 894 cm2
c. 876 cm2
d. 858 cm2
7. This birdhouse is to be hung from the branch of a tree. The circular hole has diameter 8 cm.
Determine the surface area of the birdhouse, to the nearest square centimetre.
18 cm
18 cm
25 cm
26 cm
a. 3009 cm2
____
b. 3760 cm2
c. 3609 cm2
d. 3659 cm2
8. This object is composed of a cylinder of diameter 4 cm and height 14 cm on top of another cylinder of
diameter 12 cm and height 4 cm.
Determine the surface area of the object, to the nearest square centimetre.
4 cm
14 cm
4 cm
12 cm
a. 440 cm2
b. 557 cm2
c. 561 cm2
d. 553 cm2
____
9. This object is composed of a rectangular prism on top of a cylinder.
The rectangular prism has height 8 cm and square ends of side length 4 cm.
The cylinder has diameter 16 cm and height 6 cm.
Determine the surface area of the object, to the nearest square centimetre.
4 cm
8 cm
6 cm
16 cm
a. 631 cm2
b. 816 cm2
c. 832 cm2
d. 848 cm2
____ 10. Determine the total surface area of this object, to the nearest square centimetre.
8 cm
8 cm
11.3 cm
8 cm
8 cm
a. 1039 cm2
8 cm
8 cm
b. 1130 cm2
c. 949 cm2
d. 859 cm2
____ 11. Each layer of a two-layer cake is a right rectangular prism.
The bottom layer has a square base of side length 26 cm and height 8 cm.
The top layer has a square base of side length 18 cm and height 6 cm.
The surface of the cake is frosted. What area of the cake is frosted?
a. 2616 cm2
b. 2264 cm2
c. 1940 cm2
d. 2588 cm2
Short Answer
12. Find the area of the shaded region (3 marks each)
a)
b)
13.
This is the floor plan of a building that is 30 m tall with a flat roof.
Determine the surface area of the building, including its roof.
40 m
20 m
14. A barn is built in the shape of a right rectangular prism with a semi-circular roof.
Determine the surface area of the barn. Give your answer to the nearest whole number.
6m
22 m
12 m
Problem
15. Mr. Glenwright’s Science and Math Inc. building measures 60 m by 50 m by 20 m.
It has an open door that measures 15 m by 10 m on the front.
A store room that measures 40 m by 25 m by 10 m is attached to one wall of the warehouse. Mr. Glenwright
wishes to paint his building, not including the roof. Calculate the area needed to be painted.
60 m
50 m
40 m
20 m
10 m
10 m
25 m
15 m
Math
Answer Section
MULTIPLE CHOICE
1. ANS:
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11. ANS:
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D
PTS: 1
DIF: Easy
1.3 Surface Areas of Objects Made from Right Rectangular Prisms
9.SS2
TOP: Shape and Space (3-D Objects and 2-D Shapes)
Procedural Knowledge
A
PTS: 1
DIF: Moderate
1.3 Surface Areas of Objects Made from Right Rectangular Prisms
9.SS2
TOP: Shape and Space (3-D Objects and 2-D Shapes)
Procedural Knowledge
A
PTS: 1
DIF: Moderate
1.3 Surface Areas of Objects Made from Right Rectangular Prisms
9.SS2
TOP: Shape and Space (3-D Objects and 2-D Shapes)
Procedural Knowledge
C
PTS: 1
DIF: Moderate
1.3 Surface Areas of Objects Made from Right Rectangular Prisms
9.SS2
TOP: Shape and Space (3-D Objects and 2-D Shapes)
Procedural Knowledge
A
PTS: 1
DIF: Easy
1.4 Surface Areas of Other Composite Objects
LOC: 9.SS2
Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
D
PTS: 1
DIF: Easy
1.4 Surface Areas of Other Composite Objects
LOC: 9.SS2
Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
D
PTS: 1
DIF: Easy
1.4 Surface Areas of Other Composite Objects
LOC: 9.SS2
Shape and Space (3-D Objects and 2-D Shapes)
Procedural Knowledge | Problem-Solving Skills
D
PTS: 1
DIF: Easy
1.4 Surface Areas of Other Composite Objects
LOC: 9.SS2
Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
C
PTS: 1
DIF: Easy
1.4 Surface Areas of Other Composite Objects
LOC: 9.SS2
Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
C
PTS: 1
DIF: Easy
1.4 Surface Areas of Other Composite Objects
LOC: 9.SS2
Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge
C
PTS: 1
DIF: Easy
1.4 Surface Areas of Other Composite Objects
LOC: 9.SS2
Shape and Space (3-D Objects and 2-D Shapes)
Procedural Knowledge | Problem-Solving Skills
SHORT ANSWER
12. ANS:
The surface area of the building is 9200 m2.
PTS: 1
DIF: Moderate
REF: 1.3 Surface Areas of Objects Made from Right Rectangular Prisms
LOC: 9.SS2
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge | Problem-Solving Skills
13. ANS:
The surface area of the barn is about 936 m2.
PTS: 1
DIF: Moderate
REF: 1.4 Surface Areas of Other Composite Objects
LOC: 9.SS2
TOP: Shape and Space (3-D Objects and 2-D Shapes)
KEY: Procedural Knowledge | Problem-Solving Skills
PROBLEM
14. ANS:
Area of front =
Area of back =
Area of left side =
Area of right side =
So, the surface area of the warehouse building is:
PTS:
REF:
LOC:
KEY:
1
DIF: Difficult
1.3 Surface Areas of Objects Made from Right Rectangular Prisms
9.SS2
TOP: Shape and Space (3-D Objects and 2-D Shapes)
Problem-Solving Skills | Communication